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WAEC Further Mathematics 2008 Question 27

Question 27

Statistics

The table shows the distribution of marks by some candidates in a test.
Marks: 2, 3, 4, 5, 6, 7, 8
No of students: 5, 7, 9, 6, 3, 6, 4
What is the median score?

  1. A.3.5
  2. B.4.0
  3. C.4.5
  4. D.5.0
Show the answer and explanation

Answer: B (4.0)

Explanation

There are 40 students, so the median is between the 20th and 21st scores. Cumulative frequencies are 5, 12, 21, so both are 4.